document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54432>Question 54432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not understand how to solve this, please help.<BR>\n" );
document.write( "Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.<BR>\n" );
document.write( "   x + 5y = 10   and   -2x – 10y = -20<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36699 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=36699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L1) x+5y=10<BR>\n" );
document.write( "L2)-2x-10y=-20<BR>\n" );
document.write( "--------------Multiply L1 by 2 so that if we add the two equations we eliminate the x's.<BR>\n" );
document.write( "L1)2(x+5y)=2(10)------>2x+10y=20<BR>\n" );
document.write( "---------------Add L1+L2<BR>\n" );
document.write( "2x+10y=20<BR>\n" );
document.write( "-2x-10y=-20<BR>\n" );
document.write( "____________<BR>\n" );
document.write( "0x+0y=0<BR>\n" );
document.write( "0=0<BR>\n" );
document.write( "This system is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28dependent%29 ALIGN=MIDDLE  ALT=\"highlight%28dependent%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because we can't solve it and 0 does = 0.  This has an infinite number of solutions, no matter what we put in for their x's their y's will always =.  Graphically, it looks like the same exact line.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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